Reconfigurable RRAM-based computing: A Case study for reliability enhancement

Emerging hybrid-CMOS nanoscale devices and architectures offer greater degree of integration and performance capabilities. However, the high power densities, hard error frequency, process variations, and device wearout affect the overall system reliability. Reactive design techniques, such as redundancy, account for component failures by mitigating them to prevent system failures. These techniques incur high area and power overhead. This research focuses on exploring hybrid CMOS/Resistive RAM (RRAM) architectures that enhance the system reliability by performing computation in RRAM cache whenever CMOS logic units fail, essentially masking the area overhead of redundant logic when not in use. The proposed designs are validated using the Gem5 performance simulator and McPAT power simulator running single-core SPEC2006 benchmarks and multi-core PARSEC benchmarks. The simulation results are used to evaluate the efficacy of reliability enhancement techniques using RRAM. The average runtime when using RRAM for functional unit replacement was between ~1.5 and ~2.5 times longer than the baseline for a single-core architecture, ~1.25 and ~2 times longer for an 8-core architecture, and ~1.2 and ~1.5 times longer for a 16-core architecture. Average energy consumption when using RRAM for functional unit replacement was between ~2 and ~5 times more than the baseline for a single-core architecture, and ~1.25 and ~2.75 times more for multi-core architectures. The performance degradation and energy consumption increase is justified by the prevention of system failure and enhanced reliability. Overall, the proposed architecture shows promise for use in multi-core systems. Average performance degradation decreases as more cores are used due to more total functional units being available, preventing a slow RRAM functional unit from becoming a bottleneck

A Sound and Complete Axiomatization of Majority-n Logic

Manipulating logic functions via majority operators recently drew the attention of researchers in computer science. For example, circuit optimization based on majority operators enables superior results as compared to traditional logic systems. Also, the Boolean satisfiability problem finds new solving approaches when described in terms of majority decisions. To support computer logic applications based on majority a sound and complete set of axioms is required. Most of the recent advances in majority logic deal only with ternary majority (MAJ- 3) operators because the axiomatization with solely MAJ-3 and complementation operators is well understood. However, it is of interest extending such axiomatization to n-ary majority operators (MAJ-n) from both the theoretical and practical perspective. In this work, we address this issue by introducing a sound and complete axiomatization of MAJ-n logic. Our axiomatization naturally includes existing majority logic systems. Based on this general set of axioms, computer applications can now fully exploit the expressive power of majority logic.Comment: Accepted by the IEEE Transactions on Computer

Memristor-based arithmetic units

The modern computer architecture community is continually pushing the limits of performance, speed, and efficiency. Recently, the ability to satisfy this endeavor with popular CMOS technology has proved difficult, and in many settings, impossible. The community has begun to explore alternatives to standard practices, researching new components such as nanoscale structures. Additional research has applied these new components and their characteristics to rethink the architecture of the latest technology, moving away from the Von Neumann architecture. A leading technology in this effort is the memristor. Memristors are a new class of circuit elements that have the ability to change their resistance value while retaining knowledge of their current and past resistances. Their small form factor, high density, and fast switching times have sparked research in their applications in modern memory hierarchies. However, their utility in arithmetic has been minimally explored. This dissertation describes the prior work in the exploration of memristor technology, fabrication, modeling, and application, followed by the completed research performed in the design and implementation of arithmetic units using memristors. Implementations of popular adders, multipliers, and dividers in the context of memristors are designed using four approaches: IMPLY, hybrid-CMOS, threshold gates, and MAD gates. Each of these approaches has different tradeoffs and benefits for memristor-based design. Although the first three approaches have been defined in prior work, MAD gates are a novel application for memristors proposed that offer lower power, area, and delay as compared to prior approaches. This work explores these benefits for arithmetic unit design. The details of each designs, simulation results, and analyses in terms of complexity and delay and power are presented. For arithmetic units which have been designed or presented in prior work, this research improves upon the design in each metric. Many of the designs are transformed and pipelined to leverage memristor characteristics and the various approaches rather than traditional CMOS and this is discussed in detail. Overall, the proposed designs offer significant improvements to traditional CMOS designs, motivating the effort to continue exploring memristors and their application to modern computer architecture design.Electrical and Computer Engineerin

Null Convention Logic applications of asynchronous design in nanotechnology and cryptographic security

This dissertation presents two Null Convention Logic (NCL) applications of asynchronous logic circuit design in nanotechnology and cryptographic security. The first application is the Asynchronous Nanowire Reconfigurable Crossbar Architecture (ANRCA); the second one is an asynchronous S-Box design for cryptographic system against Side-Channel Attacks (SCA). The following are the contributions of the first application: 1) Proposed a diode- and resistor-based ANRCA (DR-ANRCA). Three configurable logic block (CLB) structures were designed to efficiently reconfigure a given DR-PGMB as one of the 27 arbitrary NCL threshold gates. A hierarchical architecture was also proposed to implement the higher level logic that requires a large number of DR-PGMBs, such as multiple-bit NCL registers. 2) Proposed a memristor look-up-table based ANRCA (MLUT-ANRCA). An equivalent circuit simulation model has been presented in VHDL and simulated in Quartus II. Meanwhile, the comparison between these two ANRCAs have been analyzed numerically. 3) Presented the defect-tolerance and repair strategies for both DR-ANRCA and MLUT-ANRCA. The following are the contributions of the second application: 1) Designed an NCL based S-Box for Advanced Encryption Standard (AES). Functional verification has been done using Modelsim and Field-Programmable Gate Array (FPGA). 2) Implemented two different power analysis attacks on both NCL S-Box and conventional synchronous S-Box. 3) Developed a novel approach based on stochastic logics to enhance the resistance against DPA and CPA attacks. The functionality of the proposed design has been verified using an 8-bit AES S-box design. The effects of decision weight, bitstream length, and input repetition times on error rates have been also studied. Experimental results shows that the proposed approach enhances the resistance to against the CPA attack by successfully protecting the hidden key --Abstract, page iii

Hardware Considerations for Signal Processing Systems: A Step Toward the Unconventional.

As we progress into the future, signal processing algorithms are becoming more computationally intensive and power hungry while the desire for mobile products and low power devices is also increasing. An integrated ASIC solution is one of the primary ways chip developers can improve performance and add functionality while keeping the power budget low. This work discusses ASIC hardware for both conventional and unconventional signal processing systems, and how integration, error resilience, emerging devices, and new algorithms can be leveraged by signal processing systems to further improve performance and enable new applications. Specifically this work presents three case studies: 1) a conventional and highly parallel mix signal cross-correlator ASIC for a weather satellite performing real-time synthetic aperture imaging, 2) an unconventional native stochastic computing architecture enabled by memristors, and 3) two unconventional sparse neural network ASICs for feature extraction and object classification. As improvements from technology scaling alone slow down, and the demand for energy efficient mobile electronics increases, such optimization techniques at the device, circuit, and system level will become more critical to advance signal processing capabilities in the future.PhDElectrical EngineeringUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.lib.umich.edu/bitstream/2027.42/116685/1/knagphil_1.pd

Low Power Memory/Memristor Devices and Systems

This reprint focusses on achieving low-power computation using memristive devices. The topic was designed as a convenient reference point: it contains a mix of techniques starting from the fundamental manufacturing of memristive devices all the way to applications such as physically unclonable functions, and also covers perspectives on, e.g., in-memory computing, which is inextricably linked with emerging memory devices such as memristors. Finally, the reprint contains a few articles representing how other communities (from typical CMOS design to photonics) are fighting on their own fronts in the quest towards low-power computation, as a comparison with the memristor literature. We hope that readers will enjoy discovering the articles within

Neuroinspired unsupervised learning and pruning with subquantum CBRAM arrays.

Resistive RAM crossbar arrays offer an attractive solution to minimize off-chip data transfer and parallelize on-chip computations for neural networks. Here, we report a hardware/software co-design approach based on low energy subquantum conductive bridging RAM (CBRAM®) devices and a network pruning technique to reduce network level energy consumption. First, we demonstrate low energy subquantum CBRAM devices exhibiting gradual switching characteristics important for implementing weight updates in hardware during unsupervised learning. Then we develop a network pruning algorithm that can be employed during training, different from previous network pruning approaches applied for inference only. Using a 512 kbit subquantum CBRAM array, we experimentally demonstrate high recognition accuracy on the MNIST dataset for digital implementation of unsupervised learning. Our hardware/software co-design approach can pave the way towards resistive memory based neuro-inspired systems that can autonomously learn and process information in power-limited settings

Energy Efficient and Error Resilient Neuromorphic Computing in VLSI

Realization of the conventional Von Neumann architecture faces increasing challenges due to growing process variations, device reliability and power consumption. As an appealing architectural solution, brain-inspired neuromorphic computing has drawn a great deal of research interest due to its potential improved scalability and power efficiency, and better suitability in processing complex tasks. Moreover, inherit error resilience in neuromorphic computing allows remarkable power and energy savings by exploiting approximate computing. This dissertation focuses on a scalable and energy efficient neurocomputing architecture which leverages emerging memristor nanodevices and a novel approximate arithmetic for cognitive computing. First, brain-inspired digital neuromorphic processor (DNP) architecture with memristive synaptic crossbar is presented for large scale spiking neural networks. We leverage memristor nanodevices to build an N ×N crossbar array to store not only multibit synaptic weight values but also the network configuration data with significantly reduced area cost. Additionally, the crossbar array is accessible both column- and row-wise to significantly expedite the synaptic weight update process for on-chip learning. The proposed digital pulse width modulator (PWM) readily creates a binary pulse with various durations to read and write the multilevel memristors with low cost. Our design integrates N digital leaky integrate-and-fire (LIF) silicon neurons to mimic their biological counterparts and the respective on-chip learning circuits for implementing spike timing dependent plasticity (STDP) learning rules. The proposed column based analog-to-digital conversion (ADC) scheme accumulates the pre-synaptic weights of a neuron efficiently and reduces silicon area by using only one shared arithmetic unit for processing LIF operations of all N neurons. With 256 silicon neurons, the learning circuits and 64K synapses, the power dissipation and area of our design are evaluated as 6.45 mW and 1.86 mm2, respectively, in a 90 nm CMOS technology. Furthermore, arithmetic computations contribute significantly to the overall processing time and power of the proposed architecture. In particular, addition and comparison operations represent 88.5% and 42.9% of processing time and power for digital LIF computation, respectively. Hence, by exploiting the built-in resilience of the presented neuromorphic architecture, we propose novel approximate adder and comparator designs to significantly reduce energy consumption with a very low er- ror rate. The significantly improved error rate and critical path delay stem from a novel carry prediction technique that leverages the information from less significant input bits in a parallel manner. An error magnitude reduction scheme is proposed to further reduce amount of error once detected with low cost in the proposed adder design. Implemented in a commercial 90 nm CMOS process, it is shown that the proposed adder is up to 2.4× faster and 43% more energy efficient over traditional adders while having an error rate of only 0.18%. Additionally, the proposed com- parator achieves an error rate of less than 0.1% and an energy reduction of up to 4.9× compared to the conventional ones. The proposed arithmetic has been adopted in a VLSI-based neuromorphic character recognition chip using unsupervised learning. The approximation errors of the proposed arithmetic units have been shown to have negligible impacts on the training process. Moreover, the energy saving of up to 66.5% over traditional arithmetic units is achieved for the neuromorphic chip with scaled supply levels